Theorems · Theorem · number theory
Rat.cast_nnratCast
∀ {K : Type u_2} [inst : DivisionRing K] (q : ℚ≥0), ↑↑q = ↑q- Defined in
- Mathlib.Data.Rat.Cast.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DivisionRingstatement and proof · cited by 1,062
- NNRatstatement and proof · cited by 523
- Int.cast_natCastproof · cited by 393
- NNRat.caststatement and proof · cited by 235
- NNRat.numproof · cited by 53
- NNRat.denproof · cited by 51
- Rat.cast_defproof · cited by 20
- NNRat.cast_defproof · cited by 17
- NNRat.den_posproof · cited by 6
- Rat.num_div_eq_of_coprimeproof · cited by 3
- Rat.den_div_eq_of_coprimeproof · cited by 3
- NNRat.coprime_num_denproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Rat.cast_ofScientificproof · cited by 3